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Finding the Fourth Proportional to 304.73, 457.08 and 82.37

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Solution

The fourth proportional to 304.73, 457.08 and 82.37 is: 123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.73 : 457.08 = 82.37 : x
  2. Step 2: Convert to fraction form
    304.73/457.08 = 82.37/x
  3. Step 3: Cross multiply
    304.73x = 457.08 × 82.37
  4. Step 4: Simplify right side
    304.73x = 37,648.75
  5. Step 5: Solve for x
    x = 37,648.75/304.73
  6. Step 6: Final answer
    x = 123.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.